PAPP103 - S10: Models of populations with variable growth rates

Generalized stable population models

Age structure from past rates (cont.)

The lexis diagram also provides information on past age-specific death rates in this population. Using these rates, one can calculate survivorship in the period life table for the baseline date for the first few age groups. Remember that:

q_x = m_x / (1+0.5m_x) and L_x = l_x – 0.5d_x

Age (x)	Age-specific death rates mx	Probabilities of dying qx	Cumulative survivorship lx	Life table deaths dx	Survivors in the age interval Lx
0	0.07000	0.06763	100,000	6763	96,618
1	0.03000	0.02956	93,237	2756	91,859
2	0.02000	0.01980	90,481	1792	89,585
3			88,689

Exercise

Calculate L₂, the life table survivors between exact ages 2 and 3.